Defintion of an even function: f(−a) = f(a).
Since f(1) = 2 then, by definition, f(−1) = 2 as well.
There are many ways to connect the points, just make sure you maintain symmetry over the y-axis.
Can you draw a parabola through all of these points? Give it a try.
Use the eTool below to view the graphs of some possible functions.
Click the link at right for the full version of the eTool: Calc 1-70 HW eTool